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Finding the Third Proportional to 397,868 and 597,108

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Solution

The third proportional to 397,868 and 597,108 is: 896,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,868 : 597,108 = 597,108 : x
  2. Step 2: Convert to fraction form
    397,868/597,108 = 597,108/x
  3. Step 3: Cross multiply
    397,868x = 597,108 × 597,108
  4. Step 4: Simplify right side
    397,868x = 356,537,963,664
  5. Step 5: Solve for x
    x = 356,537,963,664/397,868
  6. Step 6: Final answer
    x = 896,121.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.